Borel Conjecture and Dual Borel Conjecture
Martin Goldstern, Jakob Kellner, Saharon Shelah, Wolfgang, Wohofsky
TL;DR
This paper demonstrates the consistency of the simultaneous validity of the Borel Conjecture and its dual, contributing to the understanding of their relationship within set theory.
Contribution
It establishes the consistency of both conjectures holding together, which was previously unresolved.
Findings
Both conjectures can be true simultaneously in some models.
The result advances the understanding of measure and category in set theory.
Provides a new consistency proof for the joint validity of the conjectures.
Abstract
We show that it is consistent that the Borel Conjecture and the dual Borel Conjecture hold simultaneously.
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